10133306368848 has 720 divisors, whose sum is σ = 33824793824640. Its totient is φ = 2807743150080.

The previous prime is 10133306368841. The next prime is 10133306368891. The reversal of 10133306368848 is 84886360333101.

It is a junction number, because it is equal to n+sod(n) for n = 10133306368794 and 10133306368803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133306368841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1530938883 + ... + 1530945501.

It is an arithmetic number, because the mean of its divisors is an integer number (46978880312).

Almost surely, 2^{10133306368848} is an apocalyptic number.

10133306368848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133306368848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912396912320).

10133306368848 is an abundant number, since it is smaller than the sum of its proper divisors (23691487455792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133306368848 is a wasteful number, since it uses less digits than its factorization.

10133306368848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768 (or 6728 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 10133306368848 in words is "ten trillion, one hundred thirty-three billion, three hundred six million, three hundred sixty-eight thousand, eight hundred forty-eight".